The wedge product | Geometric algebra episode 6

#geometricalgebra #geometricproduct #multivectors #wedgeproduct #exterioralgebra The wedge product is one of the cornerstones of geometric algebra, because it produces all of the basis elements from which all multivectors are constructed. We count how many such basis elements you can create, and we find that the answer is given by the numbers in the Pascal triangle. You can support us on Patreon, where you can already watch all the Geometric Algebra videos and get access to exclusive content. Unfortunately, we won't be publishing any new videos after Geometric Algebra, at least not in the near future. Your support is still more than welcome of course: https://www.patreon.com/user?u=86649007 [EIG 1]    • Spinors for Beginners 11: What is a Cliffo...   This video is part of a series about spinors, but it actually gives you a really good introduction to the wedge product. 0:00 Introduction: Moving from 2D to 3D 1:02 The wedge product 1:42 Linear independence test 2:49 Blades and their grades 3:29 The wedge product is associative, anti-symmetric, and linear 4:51 The Pascal triangle organizes all basis blades 10:38 Blades produce linear subspaces 13:17 Conclusion This video is published under a CC Attribution license ( https://creativecommons.org/licenses/... )